The GIT Compactification of Quintic Threefolds

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

In this article, we study the geometric invariant theory (GIT)
compactification of quintic threefolds. We study singularities, which arise in
non-stable quintic threefolds, thus giving a partial description of the stable
locus. We also give an explicit description of the boundary components and
stratification of the GIT compactification.

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